Violation of the Cauchy-Schwarz inequality with matter waves
Autor: | Josselin Ruaudel, Guthrie B. Partridge, Christoph I Westbrook, Karen Kheruntsyan, Denis Boiron, Raphael Lopes, Piotr Deuar, Marie Bonneau, Jean-Christophe Jaskula |
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Přispěvatelé: | Centre of excellence for quantum atom optics (ARC), University of Queensland [Brisbane], Laboratoire Charles Fabry / Optique atomique, Laboratoire Charles Fabry (LCF), Université Paris-Sud - Paris 11 (UP11)-Institut d'Optique Graduate School (IOGS)-Centre National de la Recherche Scientifique (CNRS)-Université Paris-Sud - Paris 11 (UP11)-Institut d'Optique Graduate School (IOGS)-Centre National de la Recherche Scientifique (CNRS), Institut of Physics, Polska Akademia Nauk = Polish Academy of Sciences (PAN), European Project: 267775,ERC,ERC-2010-AdG_20100224,QUANTATOP(2011) |
Jazyk: | angličtina |
Rok vydání: | 2012 |
Předmět: |
[PHYS.COND.GAS]Physics [physics]/Condensed Matter [cond-mat]/Quantum Gases [cond-mat.quant-gas]
General Physics and Astronomy FOS: Physical sciences 01 natural sciences Upper and lower bounds 010305 fluids & plasmas law.invention [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph] law Quantum mechanics 0103 physical sciences 010306 general physics Cauchy–Schwarz inequality Mixing (physics) matter waves Physics Condensed Matter::Quantum Gases Quantum Physics Bose-Einstein condensate Collision Quantum Gases (cond-mat.quant-gas) Cauchy Schwarz inequality PACS 03.75.Be 03.75.Gg 34.50.Cx 42.50.Dv Halo Matter wave Atomic number Quantum Physics (quant-ph) Condensed Matter - Quantum Gases Bose–Einstein condensate |
Zdroj: | Physical Review Letters Physical Review Letters, American Physical Society, 2012, 108, pp.260401. ⟨10.1103/PhysRevLett.108.260401⟩ Physical Review Letters, 2012, 108, pp.260401. ⟨10.1103/PhysRevLett.108.260401⟩ |
ISSN: | 0031-9007 1079-7114 |
DOI: | 10.1103/PhysRevLett.108.260401⟩ |
Popis: | The Cauchy-Schwarz (CS) inequality -- one of the most widely used and important inequalities in mathematics -- can be formulated as an upper bound to the strength of correlations between classically fluctuating quantities. Quantum mechanical correlations can, however, exceed classical bounds.Here we realize four-wave mixing of atomic matter waves using colliding Bose-Einstein condensates, and demonstrate the violation of a multimode CS inequality for atom number correlations in opposite zones of the collision halo. The correlated atoms have large spatial separations and therefore open new opportunities for extending fundamental quantum-nonlocality tests to ensembles of massive particles. Final published version (with minor changes). 5 pages, 3 figures, plus Supplementary Material |
Databáze: | OpenAIRE |
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